This book is planned to be an introduction to algebraic K-theory and its role in algebraic geometry viewed through the lens of intersection theory.

The target audience for this book are graduate students in algebraic geometry with a good background in commutative algebra who have had some exposure to both scheme theory and homological algebra.

This is an ongoing project (with no set date for completion). In the spring of 2025, I taught a one quarter course on algebraic K-theory using this book. Some of the proofs have been updated. If you have any comments, corrections, or suggestions, please let me know about them!

Version 0.1.2 (October 27, 2025)